Earth/matriX

Science in Ancient Artwork Series

by
Charles William Johnson

Abstract Series Num. 30-39

The author analyzes further the 819c associated to the K'awil glyph/figure.
By applying the mediatio/duplatio method to the 819c, one may
observe various numbers which may have acted as numerical constants
in mathematical computations of whole cycles and their fractions in
the ancient reckoning system of Mesoamerica. Efforts are made to explore
further the internal logic of the relationships reflected in the historically
significant numbers of ancient Mesoamerican calendrical systems.

The author analyzes the possible relationship of the .625 ratio regarding
significant numbers from the reckoning system of ancient Mesoamerica.
The .625 ratio has been identified as possibly reflecting the orbital
times between Earth and the planet Venus (synodic and sidereal orbits).
The different day-counts of 260, 360, 365 and 584 days would all appear
to be related by way of the .625 ratio in this respect. The essay
brings forth the idea that the .625 ratio may well have served as
a basis for the logic of numbers found in the ancient reckoning system
of Mesoamerica.

The author explores the companion number, 1366560, which has been
cited in the historical record of the ancient reckoning system of
Mesoamerica. The 1366560 figure is examined in the light of the 260c,
360c, and 365c day-count systems. Two different sets of numbers appear
in relation to the 360c and the 365c, which function as of the 260c
cycle numbers and the maya long count numbers (360, 7200, 144000,
etc.). The companion number 1366560 allows for a translation among
the different systems, and examples of possible computational methods
are illustrated in this essay. The mediatio/duplatio method
is shown to be extremely relevant to comprehending the nature of the
ancient reckoning system.

The author explores a possible relationship between the 756c of the
measurement of the Great Pyramid of Khufu and the 819c of the glyph/sign
of K'awil of the maya cultures (Palenque, Yaxchilan, Quirigua), with
respect to the ancient reckoning system based on the 360c. Further
remarks are made regarding a possible relationship with the Sothic
cycle of ancient Egypt and the measurements of the site of Teotihuacan
in Mexico.

The author attempts to establish a possible origin for the 360c day-count
that is found in distinct reckoning system throughout the ancient
world. The analysis follows upon the procedures that have been identified,
such as mediatio/duplatio, numerical progressions, and specific relations
that are often related in geometry. The numbers of the ancient reckoning
system appear to obey computations based on the idea of fractals and
a floating decimal place, which allows for computations from days
to years and other cycles with relative ease.

We have attempted to consider the different day-counts as of their
fractals (260c and 36c) with respect to patterns of geometrical progression
and their expression of annotation on a grid/square-like structure.
Having done this has allowed us to perceive certain patterns that
are not contradictory to those found in the historical record. It
does not require much imagination to conceive of the ancient artists
having developed such a grid system; in fact, examples of this kind
of drawing aid have been observed in ancient Egypt; grid-like markings
can still be found on some of the unfinished artwork. The square-like
patterns are found throughout Mesoamerican cultures on buildings and
pyramids.

The author explores a possible relationship between the numbers of
the maya long count and their expression in terms of spatial coordinates
of distance travelled by the solar system and its planetary bodies.
The maya long count refers to time reckoning and its numbers are generally
cited as expressing day-counts and time-cycles. However, the same
numbers represent fractals of distance expressed in miles and the
velocities of the Earth and the Sun. Furthermore, those same numbers
harbor a direct relationship to cycle-numbers (52c) and to the companion
number 1366560, relationships which are fat too coincidental to be
ignored; especially when one considers that the time-cycles reflect
precisely the orbital times of those bodies.

The different calendrical day-counts of 260c and 360c appear to be
easily and evenly related to numbers representing events within the
Universe. The numbers that relate to and represent the velocities
of the Earth and the Sun, alongwith the speed of light, relate to
the maya long count through whole cycle computations. The data would
seem to suggest that the ancient reckoning system of Mesoamerica could
be employed to account for computations of these different astronomical
events within the solar system and within the Universe.

It has often been cited that the ancient cultures were concerned
with counting whole cycles of time regarding the planetary bodies
of the solar system. We have also pointed out in earlier writings
that by counting time, one necessarily is counting space as well.
For reality exists as spacetime. Furthermore, spacetime is movement.
In the essay Earth/matriX 37, we pointed out how the maya long count,
a 360 day-count may also be related to the numbers of the Universe
that pertain to the velocity of the Earth, the Sun, and even that
of light. That may be simply a feature of numbers in and as of themselves;
that they are relational among themselves outside of the events being
considered. However, there would be some relationships of coincidence
among the numbers that might cause one to believe that the ancient
maya system of the long count may have actually taken into account
the speed of light, which has been clocked at 186,000 miles per second.
The numbers of the maya, often cited by researchers are notoriously
long.

The author considers the problems of researching the ancient reckoning
system from the perspective of comparative numbers. As such, numbers
have their own rules and behave accordingly. The simple drawing of
coincidences of numbers has its pitfalls. However, one must distinguish
between the behavior of numbers, mathematics, the laws geometry, etc.,
and numbers and measurements that have been singled out and assigned
specific meanings in the ancient reckoning systems. Making such a
distinction may allow us to better comprehend the very nature of the
ancient reckoning system and determine whether such system as the
260c and the 360c were products of human error of human design.